Table of Contents Author Guidelines Submit a Manuscript
Advances in High Energy Physics
Volume 2014, Article ID 306256, 4 pages
http://dx.doi.org/10.1155/2014/306256
Research Article

Cardy-Verlinde Formula of Noncommutative Schwarzschild Black Hole

Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal 57000, Pakistan

Received 19 November 2013; Revised 3 February 2014; Accepted 13 February 2014; Published 18 March 2014

Academic Editor: George Siopsis

Copyright © 2014 G. Abbas. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Linked References

  1. E. Verlinde, “On the holographic principle in a radiation dominated universe,” http://arxiv.org/abs/hep-th/0008140.
  2. M. R. Setare, “The Cardy-Verlinde formula and entropy of topological Reissner-Nordström black holes in de Sitter spaces,” Modern Physics Letters A, vol. 17, no. 32, pp. 2089–2094, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. M. R. Setare and M. B. Altaie, “The Cardy-Verlinde formula and entropy of topological Kerr-Newman black holes in de Sitter spaces,” The European Physical Journal C, vol. 30, no. 2, pp. 273–277, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. D. Birmingham and S. Mokhtari, “The Cardy-Verlinde formula and Taub-bolt-AdS spacetimes,” Physics Letters B, vol. 508, no. 3-4, pp. 365–368, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. M. R. Setare and M. Jamil, “The Cardy-Verlinde formula and entropy of the charged rotating BTZ black hole,” Physics Letters B, vol. 681, no. 5, pp. 469–471, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  6. M. R. Setare and M. Jamil, “Cardy-Verlinde formula of Kehagias-Sfetsos black hole,” International Journal of Theoretical Physics, vol. 50, no. 2, pp. 511–518, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. M. R. Setare and R. Mansouri, “Holographic thermodynamics on the brane in topological Reissner-Nordström de Sitter space,” International Journal of Modern Physics A, vol. 18, no. 24, pp. 4443–4450, 2003. View at Publisher · View at Google Scholar · View at Scopus
  8. M. R. Setare and E. C. Vagenas, “Cardy-Verlinde formula and Achúcarro-Ortiz black hole,” Physical Review D, vol. 68, no. 6, Article ID 064014, 5 pages, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  9. M. R. Setare and E. C. Vagenas, “Self-gravitational corrections to the Cardy-Verlinde formula and the FRW brane cosmology in SdS 5 bulk,” International Journal of Modern Physics A, vol. 20, no. 30, pp. 7219–7232, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  10. M. R. Setare, “Logarithmic correction to the Cardy-Verlinde formula in Achúcarro-Oritz black hole,” The European Physical Journal C, vol. 33, no. 4, pp. 555–559, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  11. B. Wang, E. Abdalla, and R.-K. Su, “Relating Friedmann equation to Cardy formula in universes with cosmological constant,” Physics Letters B, vol. 503, no. 3-4, pp. 394–398, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  12. P. Nicolini, A. Smailagic, and E. Spallucci, “Noncommutative geometry inspired Schwarzschild black hole,” Physics Letters B, vol. 632, no. 4, pp. 547–551, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. S. Ansoldi, P. Nicolini, A. Smailagic, and E. Spallucci, “Non-commutative geometry inspired charged black holes,” Physics Letters B, vol. 645, no. 2-3, pp. 261–266, 2007. View at Publisher · View at Google Scholar · View at Scopus
  14. L. Modesto and P. Nicolini, “Charged rotating noncommutative black holes,” Physical Review D, vol. 82, no. 10, Article ID 104035, 14 pages, 2010. View at Publisher · View at Google Scholar · View at Scopus
  15. R. B. Mann and P. Nicoloni, “Cosmological production of noncommutative black holes,” Physical Review D, vol. 84, no. 6, Article ID 064014, 13 pages, 2011. View at Publisher · View at Google Scholar
  16. P. Nicolini and E. Spallucci, “Noncommutative geometry-inspired dirty black holes,” Classical and Quantum Gravity, vol. 27, no. 1, Article ID 015010, 10 pages, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  17. R. Farook, S. Islam, P. K. F. Kuhfittig, and S. Ray, “Searching for higher-dimensional wormholes with noncommutative geometry,” Physical Review D, vol. 86, no. 10, Article ID 106010, 7 pages, 2012. View at Publisher · View at Google Scholar
  18. M. Sharif and G. Abbas, “Non-commutative correction to thin shell collapse in Reissner-Nordstrom geometry,” Journal of the Physical Society of Japan, vol. 81, no. 4, Article ID 044002, 2012. View at Publisher · View at Google Scholar · View at Scopus
  19. R. Banerjee and S. Gangopadhyay, “Komar energy and Smarr formula for noncommutative inspired Schwarzschild black hole,” General Relativity and Gravitation, vol. 43, no. 11, pp. 3201–3212, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  20. A. Smailagic and E. Spallucci, “Feynman path integral on the non-commutative plane,” Journal of Physics A, vol. 36, no. 33, pp. L467–L471, 2003. View at Publisher · View at Google Scholar · View at Scopus
  21. A. Smailagic and E. Spallucci, “UV divergence-free QFT on noncommutative plane,” Journal of Physics A, vol. 36, no. 39, pp. L517–L521, 2003. View at Publisher · View at Google Scholar · View at Scopus
  22. A. Smailagic and E. Spallucci, “Lorentz invariance, unitarity and UV-finiteness of QFT on noncommutative spacetime,” Journal of Physics A, vol. 37, no. 28, p. 1, 2004, Erratum in Journal of Physics A, vol. 37, no. 28, pp. 7169–7178, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  23. E. Witten, “Anti-de Sitter space, thermal phase transition, and confinement in gauge theories,” Advances in Theoretical and Mathematical Physics, vol. 2, no. 3, pp. 505–532, 1998. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  24. I. Savonije and E. Verlinde, “CFT and entropy on the brane,” Physics Letters B, vol. 507, no. 1–4, pp. 305–311, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  25. R. Banerjee, S. Gangopadhyay, and S. K. Modak, “Voros product, noncommutative Schwarzschild black hole and corrected area law,” Physics Letters B, vol. 686, no. 2-3, pp. 181–187, 2010. View at Publisher · View at Google Scholar · View at Scopus
  26. R. Banerjee, B. R. Majhi, and S. Samanta, “Noncommutative black hole thermodynamics,” Physical Review D, vol. 77, no. 12, Article ID 124035, 8 pages, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  27. R. Banerjee, B. R. Majhi, and S. K. Modak, “Noncommutative Schwarzschild black hole and area law,” Classical and Quantum Gravity, vol. 26, no. 8, Article ID 085010, 11 pages, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  28. M. Sharif and G. Abbas, “Dynamics of shearfree dissipative collapse in f(G) gravity,” Journal of the Physical Society of Japan, vol. 82, Article ID 034006, 6 pages, 2013. View at Publisher · View at Google Scholar
  29. M. Sharif and G. Abbas, “Dynamics of charged radiating collapse in modified Gauss-Bonnet gravity,” The European Physical Journal Plus, vol. 128, p. 102, 2013. View at Publisher · View at Google Scholar
  30. M. Sharif and G. Abbas, “Singularities of noncompact charged objects,” Chinese Physics B, vol. 22, Article ID 030401, 2013. View at Publisher · View at Google Scholar
  31. G. Abbas and R. M. Ramzan, “Thermodynamics of phantom energy accreting onto a black hole in Einstein-power-Maxwell gravity,” Chinese Physics Letters, vol. 30, no. 10, Article ID 100403, 2013. View at Publisher · View at Google Scholar
  32. G. Abbas, “Cardy-Verlinde formula of non-commutative charged BH,” under progress.